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4014541240 = 235419712521
BaseRepresentation
bin1110111101001001…
…0000100110111000
3101100210001211021121
43233102100212320
531210210304430
61502205315024
7201325015603
oct35722204670
911323054247
104014541240
111780116286
12940565a74
134bc9432b8
142a125b33a
15187698a7a
hexef4909b8

4014541240 has 64 divisors (see below), whose sum is σ = 9266231520. Its totient is φ = 1564416000.

The previous prime is 4014541229. The next prime is 4014541241. The reversal of 4014541240 is 421454104.

4014541240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40145412402 = 32233082735321475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014541241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1591180 + ... + 1593700.

Almost surely, 24014541240 is an apocalyptic number.

4014541240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633115760).

4014541240 is an abundant number, since it is smaller than the sum of its proper divisors (5251690280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4014541240 is a wasteful number, since it uses less digits than its factorization.

4014541240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4014541240 is about 63360.4075113158. The cubic root of 4014541240 is about 1589.3222907188.

Adding to 4014541240 its reverse (421454104), we get a palindrome (4435995344).

The spelling of 4014541240 in words is "four billion, fourteen million, five hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 971 1640 1942 2521 3884 4855 5042 7768 9710 10084 12605 19420 20168 25210 38840 39811 50420 79622 100840 103361 159244 199055 206722 318488 398110 413444 516805 796220 826888 1033610 1592440 2067220 2447891 4134440 4895782 9791564 12239455 19583128 24478910 48957820 97915640 100363531 200727062 401454124 501817655 802908248 1003635310 2007270620 4014541240